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Finding the Fourth Proportional to 148,110, 204,391.94 and 81,042

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Solution

The fourth proportional to 148,110, 204,391.94 and 81,042 is: 111,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,110 : 204,391.94 = 81,042 : x
  2. Step 2: Convert to fraction form
    148,110/204,391.94 = 81,042/x
  3. Step 3: Cross multiply
    148,110x = 204,391.94 × 81,042
  4. Step 4: Simplify right side
    148,110x = 16,564,331,196.27
  5. Step 5: Solve for x
    x = 16,564,331,196.27/148,110
  6. Step 6: Final answer
    x = 111,838.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.